Search a number
-
+
122013323413 is a prime number
BaseRepresentation
bin111000110100010001…
…1111001000010010101
3102122221022121001000021
41301220203321002111
53444340402322123
6132015132545141
711546414064652
oct1615043710225
9378838531007
10122013323413
1147822381873
121b7920221b1
13b676347bb7
145c968acc29
153291aeac5d
hex1c688f9095

122013323413 has 2 divisors, whose sum is σ = 122013323414. Its totient is φ = 122013323412.

The previous prime is 122013323387. The next prime is 122013323431. The reversal of 122013323413 is 314323310221.

Together with next prime (122013323431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70287553924 + 51725769489 = 265118^2 + 227433^2 .

It is a cyclic number.

It is not a de Polignac number, because 122013323413 - 221 = 122011226261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122013323513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006661706 + 61006661707.

It is an arithmetic number, because the mean of its divisors is an integer number (61006661707).

Almost surely, 2122013323413 is an apocalyptic number.

It is an amenable number.

122013323413 is a deficient number, since it is larger than the sum of its proper divisors (1).

122013323413 is an equidigital number, since it uses as much as digits as its factorization.

122013323413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 122013323413 its reverse (314323310221), we get a palindrome (436336633634).

The spelling of 122013323413 in words is "one hundred twenty-two billion, thirteen million, three hundred twenty-three thousand, four hundred thirteen".